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Finding the Third Proportional to 192,665.25 and 306,834.75

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Solution

The third proportional to 192,665.25 and 306,834.75 is: 488,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,665.25 : 306,834.75 = 306,834.75 : x
  2. Step 2: Convert to fraction form
    192,665.25/306,834.75 = 306,834.75/x
  3. Step 3: Cross multiply
    192,665.25x = 306,834.75 × 306,834.75
  4. Step 4: Simplify right side
    192,665.25x = 94,147,563,807.56
  5. Step 5: Solve for x
    x = 94,147,563,807.56/192,665.25
  6. Step 6: Final answer
    x = 488,658.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.